Question

3| x-9 |<27
I think I know the answer but i'm not sure.

Answer 1

ok so show your work

Answer 2

9<x<18

Answer 3

Divide by 3 on both sides which gives me x-9<9 and x+9<9. So the answers would be x<18 and x>0?

Answer 4

divide both sides by 3 gives you
|x-9| < 9

this expression is equivalent to

-9 < x-9 < 9

add +9 to all the sides you get

0 < x < 18

Answer 5

so yes :)

Answer 6

Thanks!